9,793,740

2² × 3 × 5 × 11² × 19 × 71

Starting at 9,793,740, the Collatz iteration reaches 1 after 207 steps. The first transition is 4896870; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11^2 × 19 × 71

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 32,175,360

Proper Divisor Sum 22,381,620

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9793727 ← → #9793741

Radix Representation

Decimal	9793740
Binary	100101010111000011001100 (24 bits)
Octal	0o45270314
Hexadecimal	0x9570CC

Divisor Catalog (60 of 144)

1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 71 76 95 110 114 121 132 142 165 190 209 213 220 228 242 284 285 330 355 363 380 418 426 484 570 605 627 660 710 726 781 836 852 1,045 1,065 1,140 1,210 1,254 1,349

Collatz Trajectory (207 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,793,740 4,896,870 2,448,435 7,345,306 3,672,653 11,017,960 5,508,980 2,754,490 1,377,245 4,131,736 2,065,868 1,032,934 516,467 1,549,402 774,701 2,324,104 1,162,052 581,026 290,513 871,540 435,770 217,885 653,656 326,828 163,414 81,707 245,122 122,561 367,684 183,842 91,921 275,764 137,882 68,941 206,824 103,412 51,706 25,853 77,560 38,780 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126

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